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Finding the Fourth Proportional to 703.76, 1,056.85 and 431.45

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Solution

The fourth proportional to 703.76, 1,056.85 and 431.45 is: 647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.76 : 1,056.85 = 431.45 : x
  2. Step 2: Convert to fraction form
    703.76/1,056.85 = 431.45/x
  3. Step 3: Cross multiply
    703.76x = 1,056.85 × 431.45
  4. Step 4: Simplify right side
    703.76x = 455,972.65
  5. Step 5: Solve for x
    x = 455,972.65/703.76
  6. Step 6: Final answer
    x = 647.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.